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Finding the Fourth Proportional to 207,954.61, 311,987.18 and 65,802.41

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Solution

The fourth proportional to 207,954.61, 311,987.18 and 65,802.41 is: 98,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,954.61 : 311,987.18 = 65,802.41 : x
  2. Step 2: Convert to fraction form
    207,954.61/311,987.18 = 65,802.41/x
  3. Step 3: Cross multiply
    207,954.61x = 311,987.18 × 65,802.41
  4. Step 4: Simplify right side
    207,954.61x = 20,529,509,667.56
  5. Step 5: Solve for x
    x = 20,529,509,667.56/207,954.61
  6. Step 6: Final answer
    x = 98,721.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.